Grades K to 2
Rekenrek
An online number rack with five red and five white beads on each row. Slide beads in one push, show any number to 100, and flash the rack for quick-look practice.
Tap a bead on the right to slide it, and every bead to its left, over to the left side. Tap a bead on the left to send it, and every bead to its right, back.
Ways to use it in class
- One push. Ask for 7 in a single push, not seven taps. Children who can do it are using the five: all the red and two white.
- Making ten. Show 6 on one row and ask how many more fill it. The count line says how many more make 10.
- Doubles and near doubles. Show 5 and 5, then 5 and 6. Ask how the second picture helps with 5 + 6.
- Quick looks. Press Flash: the rack shows for two seconds and covers. Ask how many and how they saw it, then reveal.
- Tens to 100. With ten rows, 47 is four full rows and seven more. Count on by tens, then by ones.
Printing a rekenrek
Press Print for the rack as it is: slide beads to show a number for a worksheet, or Clear it for a rack students color in.
Questions teachers ask
- What is a rekenrek?
- A counting frame designed at the Freudenthal Institute in the Netherlands; the Dutch name means "arithmetic rack". It has two rows of ten beads, and each row is five red beads and five white. The color change at five lets a child see 7 as five and two more, and 10 as a full row, without counting one by one. In English it is also called a number rack.
- How is a rekenrek different from an abacus?
- On an abacus a bead's row gives it a value, ones, tens or hundreds. On a rekenrek every bead is worth one, and the fives and tens are shown by color and by the row. It is a tool for number sense and early adding, not for place value.
- How do you move the beads?
- In one push, the way children use a real rack. Tap a bead on the right and it slides to the left along with every bead to its left. Tap a bead on the left and it goes back along with every bead to its right. To show 8, tap the eighth bead once.
- What are doubles and near doubles on a rekenrek?
- Show the same number on both rows, such as 6 and 6, and the 12 can be seen as two fives and two ones. For 6 + 7, show 6 on top and 7 below: one more than a double. Set Fill to Shared and press Slide to split any number across the rows this way.
- Which rack should I use?
- One row of ten for kindergarten counting and making 5 and 10, two rows for numbers to 20, doubles and adding within 20, and ten rows, a hundred beads, for counting by tens and adding to 100 in grades 1 and 2.
More classroom tools
Whole numbers, fractions, decimals and negatives. Mark points and draw jumps for adding and subtracting.
Hundreds ChartGrades K to 3Color squares, hide numbers to fill in, and light up skip counting by any number.
Place Value ChartGrades 1 to 6Type a number and see each digit's value, expanded form, word form and base ten blocks.
Ten FrameGrades K to 2One or two frames with two-color counters, for counting, making ten and quick looks.
Multiplication ChartGrades 2 to 5Up to 12 x 12 or 20 x 20. Tap a product to light up its row and column, hide answers to practice, and print.
Area ModelGrades 3 to 5Multiply and divide with a rectangle split by place value. See every partial product, hide the boxes to practice, and print worksheets.
Fraction StripsGrades 2 to 6A fraction wall from wholes to twelfths. Shade pieces to compare fractions and find equivalent ones.
Number BondsGrades K to 2A whole and its two parts. Build bonds, practice the missing part, and print a worksheet.
Base Ten BlocksGrades K to 5Build any number to 9,999 with ones, rods, flats and cubes. Ten trade up for one, and a block breaks back into ten, to show regrouping.
Graph PaperGrades 1 to 8Printable square grid, dot grid, coordinate axes and isometric dots, in the square size you choose.
Analog ClockGrades K to 3Drag the hands, read the time in digits and words, and practice with random times from the hour to the minute.
GeoboardGrades 2 to 8Tap pegs to stretch a rubber band into shapes, then read the area and perimeter. Boards from 5 x 5 to 11 x 11.
Pattern BlocksGrades K to 5The six classic blocks to drag and turn: make pictures and patterns, tile shapes and explore fractions of a hexagon.
Algebra TilesGrades 6 to 9Build expressions from x squared, x and 1 tiles, flip them negative, and use them to combine terms, multiply and factor.
Coordinate PlaneGrades 5 to 8One or four quadrants. Tap to plot points, join them into shapes, and print blank grids.